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Simplifying 6c + 1 = 2c + -7 Reorder the terms: 1 + 6c = 2c + -7 Reorder the terms: 1 + 6c = -7 + 2c Solving 1 + 6c = -7 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 1 + 6c + -2c = -7 + 2c + -2c Combine like terms: 6c + -2c = 4c 1 + 4c = -7 + 2c + -2c Combine like terms: 2c + -2c = 0 1 + 4c = -7 + 0 1 + 4c = -7 Add '-1' to each side of the equation. 1 + -1 + 4c = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 4c = -7 + -1 4c = -7 + -1 Combine like terms: -7 + -1 = -8 4c = -8 Divide each side by '4'. c = -2 Simplifying c = -2
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